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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But by the mid-1600s the idea was emerging that there could be more explicit and mechanical explanations for phenomena in the natural world. So, for example, in the late 1700s the French balloonist Jacques Charles (1746–1823) noted the linear increase of volume of a gas with temperature.

Energy 88
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

And if we’re going to make a “general theory of mathematics” a first step is to do something like we’d typically do in natural science, and try to “drill down” to find a uniform underlying model—or at least representation—for all of them. We can view these in some sense as the “observed phenomena” of (human) mathematics. &#10005.

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A 50-Year Quest: My Personal Journey with the Second Law of Thermodynamics

Stephen Wolfram

And I spent much of the summer of 1972 writing my own (unseen by anyone else for 30+ years) Concise Directory of Physics that included a rather stiff page about energy, mentioning entropy—along with the heat death of the universe. For a couple of months I didn’t look seriously at the book.

Physics 95
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The Concept of the Ruliad

Stephen Wolfram

And it’s one that I think has extremely deep implications—both in science and beyond. The ruliad is an ultimate example of multicomputation, and of what I’ve characterized as the fourth major paradigm for theoretical science. And we can trace the argument for this to the Principle of Computational Equivalence.

Physics 122